Explanation

Find the least common multiple (LCM) of 10, 11, and 17.

The LCM of 10, 11, and 17 is the smallest number that is a multiple of all three numbers.

Calculate the LCM.

The prime factorization of the numbers is:

10 = 2 × 5

11 = 11

17 = 17

The LCM is the product of the highest powers of all prime factors: LCM = 2 × 5 × 11 × 17 = 1870.

Explanation

She said, "We are going to the park."

Inverted commas (quotation marks) should enclose the spoken words, and the full stop should come inside the closing quotation mark.

Explanation

A function f: A → B is into if it doesn't cover the entire codomain B, meaning there are elements in B that aren't mapped to by any element in A. 

This happens when the range of f (the set of elements in B that are actually mapped to) is a proper subset of B.

Therefore, f is into if Range f ≠ B.

Explanation

Intensity of temperament describes how strongly a child experiences and expresses emotions.

It reflects the degree or strength of emotional reactions, not just their type or understanding.

Explanation

Gross motor development involves large muscle groups used in activities like running, jumping, and throwing.

It focuses on whole-body movements and coordination.

Explanation

Visual imagery appeals to the sense of sight, creating a mental picture.

This line describes color ("golden") and movement ("danced"), which help the reader visualize the scene.

Explanation

Physiological needs (like food, water, air, and shelter) are the most basic and essential for survival.

According to Maslow's hierarchy, if these are unmet for long, other needs like safety or esteem become secondary.

Explanation

According to Sigmund Freud, the pleasure principle drives human behavior — seeking pleasure and avoiding pain.

This principle is central to his psychoanalytic theory, especially concerning the id, the unconscious part of the mind.

Explanation

Decorated with lights, the house looked beautiful.

This sentence uses the past participle "decorated" to combine the ideas.

It avoids repetition and clearly connects the decoration with the appearance of the house.

Explanation

A solar eclipse occurs when the Moon comes between the Earth and the Sun.

Most commonly, we observe a partial eclipse, where only part of the Sun is obscured by the Moon.